Ruriko Yoshida is an Assistant Professor in the Department of Statistics.
Research Statement
My main research interest is to apply algebraic geometry and combinatorics to computational problems in phylogenetics, the combination of two major fields in life sciences: Genomics, i.e. the study of the function and structure of genes and genomes; and Molecular Phylogenetics, i.e., the study of the hierarchical evolutionary relationships among organisms or genes.
Recent Publications
"A Generating Function for all Magic Squares and the Volume of the Birkhoff Polytope" (with J. Deloera and F. Liu), Journal of Algebraic Combinatorics, 30(1), 2009, 113 -- 139. Available at J of Algebraic Combinatorics.
"Markov bases and subbases for bounded contingency tables" (with Fabio Rapallo), to appear in Annals of Institution of Statistical Mathematics. (Available at arxiv:0905.4841).
"Markov Bases for Two-way Subtable Sum Problems" (with H. Hara and A. Takemura), in the special issue ``THEORETICAL EFFECTIVITY AND PRACTICAL EFFECTIVITY OF GROEBNER BASES'' of the Journal of Pure and Applied Algebra, 213(8), 2009, 1507 - 1521. (Available at arxiv:0708.2312).
"Computing holes in semi-groups and its applications to transportation problems" (with R. Hemmecke and A. Takemura). Contributions to Discrete Mathematics, Volume 4, Number 1, 2009, 81 - 91.
"Counting Tables using the Double Saddlepoint Approximation" (with J. Booth and V. Zipunnikov), to appear in the Journal of Computational and Graphical Statistics. PDF.
"A Markov Basis for Conditional Test of Common Diagonal Effect in Quasi-Independence Model for Two-Way Contingency Tables" (with H. Hara and A. Takemura). J of Computational Statistics and Data Analysis. 53 (2009) 1006 - 1014. Available at arXiv:0802.2603.
"Holes in semigroups and their applications to the two-way common diagonal effect model" (with A. Takemura and P. Thomas). In: Proceedings of the 2008 International Conference on Information Theory and Statistical Learning, ITSL 2008, CSREA Press, ISBN: 1-60132-079-5, p67-72. PDF. (Even though this is published in 2008 I am posting this paper here for my convenience reason).